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3 years ago

a circle with the area 9 pi has a sector with a central angle of 60 degrees. what is the area of the sector?

Mathematics

2 answers:

mylen [45]3 years ago

8 0

Answer:

The area of sector is 4.71 sq unites

Step-by-step explanation:

Step 1: Area of the sector = Area of the circle × (C/360) where C is the central angle.

Area of the sector = πr²(C/360) = 9π × 60/360

= 9 × 3.14 × 1/6

= 28.26/6 = 4.71 sq units

Original answer by Bhuvna789456. I hope this helped.

nadya68 [22]3 years ago

8 0

Answer:

The area of the sector is 1.5pi

Step-by-step explanation:

To solve this exercise we have to know that the circle is represented with an angle of 360°

Because the circle is 360° and we have 60° , we have to divide 60 by 360 to find what fraction of the circle that part represents.

60/360 = 1/6

Now we multiply this number by the total area of the circle and we will obtain the area of the sector that we want

9pi * 1/6 = 1.5pi

The area of the sector is 1.5pi

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A kite flier wondered how high her kite was flying. She used a protractor to measure an angle of 15∘ from level ground to the ki

Nataly [62]

Answer:

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Step-by-step explanation:

It helps if you draw a triangle. Draw a horizontal segment. That is the ground. Now at the left end start a new segment that goes up to the right at approximately 15 degrees until it its other endpoint directly above the right endpoint of the horizontal segment. Connect these two endpoints. The vertical side on the right shows the height of the kite. The hypotenuse is the string.

For the 15-deg angle, the height of the triangle is the opposite leg, and the string is the hypotenuse. The trig ratio that relates the opposite leg tot he hypotenuse is the sine.

$\sin A = \dfrac{opp}{hyp}$

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3 years ago

In a pair of complementary angles, the larger angle is six more than three times the smaller angle. the measures of the angles a

harina [27]

2 angles are Complementary, if the sum of their measures = 90°.

Let the 2 angles be A and B, and let their measures be m(A)=a, m(B)=b.

Let A be the larger angle.

"the larger angle is six more than three times the smaller angle."

can be 'translated' into algebra as: a = 6 + 3b

Also, since A and B are complementary, we have a+b=90°.

substitute a=6+3b in the second equation:

a+b=90°

(6°+3b+b)=90°

4b=90°-6°

b=84°/4=21°

Then, a = 90°-21°=69°

Answer: a= 69°, b=21°

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3 years ago

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densk [106]

Answer:

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Step-by-step explanation:

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